The On-Line Encyclopedia of Bongard Problems

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Tiled by finitely many smaller copies of itself (different sizes allowed) vs. not so.

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	COMMENTS	`These are sometimes called "irreptiles".`
	CROSSREFS	`See BP532 for the version with only one size of tile allowed.` `Adjacent-numbered pages: BP1114 BP1115 BP1116 BP1117 BP1118 * BP1120 BP1121 BP1122 BP1123 BP1124`
	KEYWORD	`hardsort, proofsrequired, perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search),` `tiling (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1242

Tiled by pair of fractals including itself such that both tile the other vs. tiled by pair of fractals including itself such that the other tiles itself.

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	COMMENTS	`Proofs still needed that all the examples on the left hand side cannot fit on the right hand side as well, and that EX9881 cannot fit on the left hand side as well.`
	CROSSREFS	`The left hand side implies the left hand side of BP1116.` `The right hand side does not imply the right hand side of BP1116. (EX9881 is meant to be a counterexample.)` `Adjacent-numbered pages: BP1237 BP1238 BP1239 BP1240 BP1241 * BP1243 BP1244 BP1245 BP1246 BP1247`
	KEYWORD	`unwordable, overriddensolution, perfect, infinitedetail, both, missingproofs`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search),` `tiling (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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